Details

analyze435.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
15.6%	15.6%	84.2%	0.2%	0%	0%	0%	6
23.4%	23.4%	76.4%	0.2%	0%	0%	0%	7
26.6%	26.5%	73.3%	0.2%	0%	0%	0%	8
35.5%	35.5%	64.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	10
46.4%	46.3%	53.5%	0.2%	0%	0%	0%	11
46.9%	46.8%	53%	0.2%	0%	0%	0%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample4.3s (37.1%)

Results

1.9s	7890×	body	256	valid
1.6s	2496×	body	1024	infinite
406.0ms	979×	body	512	infinite
209.0ms	986×	body	256	infinite
122.0ms	200×	body	1024	valid
66.0ms	150×	body	512	valid
33.0ms	36×	body	2048	infinite
15.0ms	16×	body	2048	valid

Bogosity

preprocess50.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1164×	`rational.json-simplify-31`
606×	`rational.json-simplify-2`
266×	`rational.json-simplify-27`
210×	`rational.json-simplify-41`
202×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	169	805
2	211	805
3	279	805
4	394	805
5	532	805
6	722	805
7	920	805
8	1143	805
9	1184	805
10	1184	805
11	1428	805
12	1469	805
13	1469	805
14	1608	805
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.re x.im)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 y.re (atan2.f64 x.re x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (-.f64 (.f64 x.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 y.re y.re))))) (.f64 y.im (atan2.f64 x.im y.re)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 y.re y.re))))) (*.f64 x.re (atan2.f64 x.im y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 y.im y.im))))) (.f64 x.re (atan2.f64 x.im y.im)))) (cos.f64 (+.f64 (.f64 x.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 y.im y.im))))) (*.f64 y.re (atan2.f64 x.im y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 x.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re))))) (.f64 y.im (atan2.f64 y.re x.re)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re))))) (*.f64 x.im (atan2.f64 y.re x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im))))) (.f64 x.im (atan2.f64 y.im x.re)))) (cos.f64 (+.f64 (.f64 x.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im))))) (*.f64 y.re (atan2.f64 y.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (+.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

192×	`rational.json-simplify-31`
110×	`rational.json-simplify-2`
38×	`rational.json-simplify-27`
30×	`rational.json-simplify-9`
30×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	33	115
2	40	115
3	50	115
4	69	115
5	92	115
6	125	115
7	158	115
8	195	115
9	250	115
10	273	115

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))

eval1.0ms (0%)

Compiler: Compiled 78 to 23 computations (70.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

30.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

30.2b

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 41 to 19 computations (53.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.0b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series22.0ms (0.2%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`rational.json-simplify-2`
44×	`rational.json-simplify-1`
44×	`bool.json-1`
40×	`rational.json-1`
40×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	81	104
2	129	104
3	133	104

Stop Event

1×

saturated

Counts

4 → 12

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.re))))))

simplify192.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2248×	`rational.json-simplify-33`
1866×	`rational.json-simplify-1`
1766×	`rational.json-simplify-27`
1232×	`rational.json-simplify-9`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	347	9788
1	727	9788
2	1275	9788
3	2615	9684
4	5414	9684
5	6352	9684
6	6390	9684
7	6390	9684

Stop Event

1×	node limit

Counts

132 → 213

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
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(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))

Outputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.re 2))) (pow.f64 x.im 2)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)) 1/4)))))
(+.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)) 1/4))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
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(+.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 3) (.f64 (pow.f64 y.im 3) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2) (.f64 -1/2 (pow.f64 y.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
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(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 -1 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) -1))))
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(+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 -1 (.f64 y.re (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (atan2.f64 x.im x.re))))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 -1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 -1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) -1))) (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
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(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 (+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 -1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
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(+.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) -1))) (+.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 (+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))
(+.f64 x.im (+.f64 (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(+.f64 x.re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(*.f64 x.re -1)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 x.re -1) (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 x.re -1) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 x.re -1) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 x.re -1) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16))
(+.f64 (+.f64 (.f64 x.re -1) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (+.f64 (.f64 x.re -1) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16)))
(+.f64 (.f64 x.re -1) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(+.f64 x.re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 (+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))
(+.f64 x.im (+.f64 (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(*.f64 -1 x.im)
(*.f64 x.im -1)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 x.im -1) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (.f64 x.im -1) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16)))
(+.f64 (+.f64 (+.f64 (.f64 x.im -1) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16)) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (.f64 x.im -1) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))))
(+.f64 (.f64 x.im -1) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 0)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)

eval291.0ms (2.5%)

Compiler: Compiled 20226 to 9159 computations (54.7% saved)

prune51.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	257	4	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	4	262

Error

15.5b

Counts

262 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	42.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	15.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	48.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 141 to 85 computations (39.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	35.0b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	20.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x.im	@	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite6.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

26×	`bool.json-1`
24×	`rational.json-simplify-2`
22×	`rational.json-1`
22×	`rational.json-2`
22×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	41	30
2	71	30
3	75	30

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

Inputs
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`rational.json-simplify-1`
40×	`rational.json-simplify-2`
34×	`rational.json-simplify-33`
12×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	350
1	59	350
2	84	350
3	108	350
4	120	350
5	121	350

Stop Event

1×

saturated

Counts

10 → 14

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))) (+.f64 1 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)))))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.5b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series59.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite6.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational.json-simplify-2`
34×	`bool.json-1`
32×	`rational.json-simplify-1`
30×	`rational.json-1`
30×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	59	33
2	97	33
3	101	33

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

324×	`rational.json-simplify-2`
216×	`rational.json-simplify-31`
124×	`rational.json-simplify-1`
70×	`rational.json-simplify-33`
8×	`rational.json-simplify-19`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	2340
1	152	2340
2	268	2340
3	405	2280
4	508	2280
5	515	2280

Stop Event

1×

saturated

Counts

52 → 43

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (log.f64 x.im) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) (.f64 -1 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (log.f64 x.im) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2)))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (log.f64 x.im) (.f64 -1 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))))))
(+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 -1/2 (pow.f64 y.im 2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (+.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (log.f64 x.im) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2))))) (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))))
(+.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) (.f64 -1 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/6 (*.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/6 (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))))))
(+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/6 (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 -1/2 (pow.f64 y.im 2)))))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) (.f64 y.re (.f64 -1 (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) (.f64 y.re (.f64 -1 (sin.f64 (.f64 y.im (log.f64 x.im))))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re (.f64 -1 (sin.f64 (.f64 y.im (log.f64 x.im)))))) (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (+.f64 1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (pow.f64 y.re 2))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2))))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 (+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))) (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/6 (pow.f64 y.re 3))))
(+.f64 (+.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) (.f64 y.re (.f64 -1 (sin.f64 (.f64 y.im (log.f64 x.im))))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))) (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/6 (pow.f64 y.re 3))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re (.f64 -1 (sin.f64 (.f64 y.im (log.f64 x.im)))))) (+.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (+.f64 1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (pow.f64 y.re 2))))) (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 1/6 (pow.f64 y.re 3))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (pow.f64 x.re 2) x.im)
✓	7.5b	(log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
✓	19.5b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 236 to 93 computations (60.6% saved)

series32.0ms (0.3%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

50×	`bool.json-1`
48×	`rational.json-simplify-2`
44×	`rational.json-simplify-1`
40×	`rational.json-1`
40×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
1	94	111
2	142	111
3	148	111

Stop Event

1×

saturated

Counts

3 → 12

Calls

Call 1

Inputs

(cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

(log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))

(/.f64 (pow.f64 x.re 2) x.im)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x.re 2) x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x.re 2) x.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im))))))

simplify317.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2278×	`rational.json-simplify-1`
2054×	`rational.json-simplify-2`
1788×	`rational.json-simplify-27`
1270×	`rational.json-simplify-9`
1144×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	353	11384
1	760	11384
2	1390	11160
3	2903	11128
4	5735	11128
5	6706	11128
6	6746	11128
7	6746	11128
8	7451	11128

Stop Event

1×	node limit

Counts

84 → 252

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4))))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
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(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))))) (pow.f64 x.im 2))))
(-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))))) (pow.f64 x.im 2))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))))) (pow.f64 x.im 4))))
(-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (+.f64 (.f64 1/16 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))))) (pow.f64 x.im 2)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/24 (.f64 (pow.f64 x.re 6) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))) (pow.f64 x.im 6)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im))))) (pow.f64 x.im 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/24 (.f64 (pow.f64 x.re 6) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 6))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (*.f64 -1 x.im))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (.f64 -1 x.im)))))) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (.f64 -1 x.im)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (.f64 -1 x.im)))))) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (+.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (.f64 -1 x.im)))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/24 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (pow.f64 x.re 6)) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (.f64 -1 x.im))))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))))) (pow.f64 x.re 4))))
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(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im)))
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(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 3) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 y.im 3)))) (+.f64 (.f64 -1 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (.f64 -1 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (.f64 -1 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (sin.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 -1 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im)))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (.f64 -1 (log.f64 x.im)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -1 (log.f64 x.im))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1)))))
(*.f64 -1 (log.f64 (/.f64 -1 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(log.f64 (*.f64 -1 x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (.f64 -1 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (.f64 -1 x.im)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 (log.f64 (+.f64 (.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(.f64 1 (log.f64 (+.f64 (.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(+.f64 0 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)
(*.f64 1 (/.f64 (pow.f64 x.re 2) x.im))

Outputs
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(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (*.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (*.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) (*.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (*.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))
(+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))
(+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (+.f64 (log.f64 (neg.f64 (.f64 (/.f64 1 x.im) 1/2))) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 (/.f64 1 x.im) -1/2)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (.f64 -1/2 (/.f64 1 x.im))) (*.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))
(+.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(+.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(.f64 (log.f64 (+.f64 (.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(.f64 1 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 1 (log.f64 (+.f64 (.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 1 (log.f64 (+.f64 (.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(+.f64 0 (/.f64 (pow.f64 x.re 2) x.im))
(+.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(*.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)
(*.f64 1 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 1 (/.f64 (pow.f64 x.re 2) x.im))

eval835.0ms (7.2%)

Compiler: Compiled 48741 to 24646 computations (49.4% saved)

prune187.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	672	8	680
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	676	8	684

Error

2.4b

Counts

684 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶	15.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 424 to 260 computations (38.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	26.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series32.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
22.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.im	@	-inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite12.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`rational.json-simplify-2`
74×	`bool.json-1`
68×	`rational.json-1`
68×	`rational.json-2`
58×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	79	88
2	143	88
3	183	88
4	203	88
5	224	88
6	250	88
7	282	88

Stop Event

1×

saturated

Counts

2 → 9

Calls

Call 1

Inputs

(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))))

simplify455.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2126×	`rational.json-simplify-31`
1980×	`rational.json-simplify-33`
1526×	`rational.json-simplify-1`
1402×	`rational.json-simplify-2`
212×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	9247
1	694	9093
2	1125	9029
3	1574	9029
4	1999	9029
5	2498	9029
6	2812	9029
7	2857	9029
8	2859	9029
9	2860	9029
10	2860	9029
11	3181	9029
12	3468	9029
13	3468	9029
14	3741	9029
15	3741	9029
16	4752	9029
17	5067	9029
18	5112	9029
19	5120	9029
20	5131	9029
21	5144	9029
22	5155	9029
23	5155	9029

Stop Event

1×

saturated

Counts

93 → 192

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.im 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (pow.f64 x.re 6) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))) (pow.f64 x.re 4)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))) (pow.f64 x.re 4)) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re))))) (pow.f64 x.re 6)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.re 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.re 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.re 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re)))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.re 6)) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 4))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 4))) (+.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.re 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.re 6))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 6))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
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(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))))))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.im 6)))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))))))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.im 6)) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(-.f64 0 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(neg.f64 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6)))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6)))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 y.re -1))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
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(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
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(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 (pow.f64 x.im 6) 30) (.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6))))
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(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
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(.f64 (log.f64 (/.f64 -1 x.re)) (.f64 y.re -1))
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(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 y.re -1)))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 -1 (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 1 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 (.f64 -1 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re)) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 1/2 (pow.f64 y.im 2))))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 (+.f64 (.f64 -1 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 -1/6 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))))))
(+.f64 (+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re)) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 1/2 (pow.f64 y.im 2)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 -1/6 (pow.f64 y.im 3)))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re)) (+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 1/2 (pow.f64 y.im 2)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) (+.f64 1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 -1/6 (pow.f64 y.im 3)))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 0 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(neg.f64 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 0 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 0 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 1 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 1 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	20.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series14.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite5.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`bool.json-1`
20×	`rational.json-simplify-2`
18×	`rational.json-1`
18×	`rational.json-2`
18×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	33	11
2	59	11
3	63	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 (log.f64 x.im) y.re)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`rational.json-simplify-2`
4×	`rational.json-simplify-31`
4×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	434
1	30	434
2	34	434
3	36	434

Stop Event

1×

saturated

Counts

26 → 8

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 (log.f64 x.im) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.re))

Outputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.im))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 (log.f64 x.im) y.re) 0)
(+.f64 (*.f64 y.re (log.f64 x.im)) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.re))
(+.f64 (*.f64 y.re (log.f64 x.im)) 0)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 (.f64 x.im -1)) y.re)
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	20.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 86 to 36 computations (58.1% saved)

series24.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(.f64 (log.f64 (.f64 x.im -1)) y.re)
7.0ms	x.im	@	0	(.f64 (log.f64 (.f64 x.im -1)) y.re)
0.0ms	y.re	@	inf	(.f64 (log.f64 (.f64 x.im -1)) y.re)
0.0ms	y.re	@	-inf	(.f64 (log.f64 (.f64 x.im -1)) y.re)
0.0ms	x.im	@	inf	(.f64 (log.f64 (.f64 x.im -1)) y.re)

rewrite5.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

26×	`bool.json-1`
24×	`rational.json-simplify-2`
20×	`rational.json-1`
20×	`rational.json-2`
20×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	42	17
2	70	17
3	75	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 x.im -1)) y.re)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (log.f64 (*.f64 x.im -1)) y.re))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`rational.json-simplify-2`
6×	`rational.json-simplify-1`
4×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	558
1	40	558
2	44	558
3	46	558

Stop Event

1×

saturated

Counts

26 → 10

Calls

Call 1

Inputs
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) 0)
(+.f64 0 (.f64 (log.f64 (.f64 x.im -1)) y.re))

Outputs
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(.f64 y.re (log.f64 (.f64 -1 x.im)))
(+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) 0)
(+.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) 0)
(+.f64 0 (.f64 (log.f64 (.f64 x.im -1)) y.re))
(+.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) 0)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 x.re) y.im)
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.1b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series118.0ms (1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
41.0ms	y.im	@	0	(*.f64 (log.f64 x.re) y.im)
10.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational.json-simplify-2`
34×	`bool.json-1`
32×	`rational.json-simplify-1`
30×	`rational.json-1`
30×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	59	44
2	97	44
3	101	44

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (log.f64 x.re) y.im)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.re) y.im) (*.f64 (log.f64 x.re) y.im))))))

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

322×	`rational.json-simplify-2`
220×	`rational.json-simplify-31`
124×	`rational.json-simplify-1`
66×	`rational.json-simplify-33`
8×	`rational.json-simplify-19`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	2598
1	158	2598
2	276	2598
3	413	2538
4	509	2538
5	515	2538

Stop Event

1×

saturated

Counts

62 → 52

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (cos.f64 (*.f64 y.im (log.f64 x.re)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.im))

Outputs
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (*.f64 -1 (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (*.f64 -1 (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (*.f64 -1 (log.f64 (/.f64 1 x.re))))))
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(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) 0)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.re)))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.re)))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(+.f64 (*.f64 y.im (log.f64 x.re)) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.im))
(+.f64 (*.f64 y.im (log.f64 x.re)) 0)

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	4.5b	(/.f64 (pow.f64 x.re 2) x.im)
	7.5b	(log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
	19.5b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 89 computations (50.6% saved)

eval496.0ms (4.3%)

Compiler: Compiled 37304 to 21120 computations (43.4% saved)

prune167.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	610	9	619
Fresh	1	2	3
Picked	1	0	1
Done	3	1	4
Total	615	12	627

Error

2.4b

Counts

627 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.7b	(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
	37.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	31.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶	31.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	43.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) -1))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.re) 2)))))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)))
	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	21.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Compiler

Compiled 540 to 361 computations (33.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 38 to 11 computations (71.1% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y.im	@	0	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	0	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	-inf	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.re	@	inf	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	inf	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

50×	`rational.json-simplify-2`
40×	`bool.json-1`
36×	`rational.json-simplify-31`
34×	`rational.json-1`
34×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	47	21
2	84	21
3	97	21
4	118	21
5	123	21
6	125	21
7	131	21
8	151	21

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

52×	`rational.json-simplify-1`
38×	`rational.json-simplify-2`
34×	`rational.json-simplify-33`
12×	`rational.json-simplify-31`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	622
1	60	622
2	84	622
3	105	622
4	116	622
5	116	622

Stop Event

1×

saturated

Counts

24 → 16

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
1
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
1
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(+.f64 1 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (+.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 1 (+.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 0)
(+.f64 0 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 0)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 1 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 1 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 57 to 13 computations (77.2% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	y.re	@	0	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	-inf	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	0	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite11.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

82×	`rational.json-simplify-2`
64×	`bool.json-1`
58×	`rational.json-1`
58×	`rational.json-simplify-31`
58×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	58	29
2	112	29
3	152	29
4	172	29
5	193	29
6	217	29
7	252	29

Stop Event

1×

saturated

Counts

1 → 9

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.re) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (log.f64 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

294×	`rational.json-simplify-31`
210×	`rational.json-simplify-2`
92×	`rational.json-simplify-27`
72×	`rational.json-simplify-41`
68×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1711
1	71	1711
2	104	1711
3	146	1711
4	187	1711
5	254	1711
6	336	1711
7	416	1711
8	495	1711
9	521	1711
10	525	1711

Stop Event

1×

saturated

Counts

57 → 19

Calls

Call 1

Inputs
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 x.im) y.re) (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 0)
(+.f64 0 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (log.f64 x.im) y.re))
(.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(.f64 1 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) -1)
(.f64 -1 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))
(neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))

Outputs
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.re) (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 0)
(+.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re))) 0)
(+.f64 0 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re))) 0)
(+.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (log.f64 x.im) y.re))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 1 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) -1)
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
	0.2b	(.f64 (log.f64 (.f64 x.im -1)) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 71 to 36 computations (49.3% saved)

series12.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	y.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	y.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

88×	`rational.json-simplify-2`
68×	`bool.json-1`
62×	`rational.json-1`
62×	`rational.json-2`
52×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	71	39
2	128	39
3	165	39
4	185	39
5	206	39
6	232	39
7	262	39

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))))

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

876×	`rational.json-simplify-31`
712×	`rational.json-simplify-2`
176×	`rational.json-simplify-1`
140×	`rational.json-simplify-27`
112×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	2550
1	171	2508
2	301	2508
3	465	2508
4	605	2508
5	680	2508
6	777	2508
7	874	2508
8	974	2508
9	1057	2508
10	1079	2508
11	1079	2508
12	1231	2508
13	1311	2508
14	1323	2508
15	1323	2508
16	1327	2508
17	1331	2508
18	1342	2508
19	1357	2508
20	1361	2508

Stop Event

1×

saturated

Counts

52 → 38

Calls

Call 1

Inputs
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (*.f64 -1 x.im)))))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (.f64 -1 x.im)))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2))))))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (.f64 -1 x.im)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2)))) (.f64 1/6 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (*.f64 -1 x.im) y.re)
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (*.f64 -1 x.im) y.re))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 -1 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 -1 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 -1 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 -1 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (*.f64 -1 x.im)))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 y.re (log.f64 (.f64 -1 x.im)))))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (.f64 -1 x.im)))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2))))))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 y.re (log.f64 (.f64 -1 x.im))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))))
(+.f64 (.f64 y.re (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (.f64 -1 x.im)))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2))))))
(+.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (.f64 -1 x.im)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2)))) (.f64 1/6 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 y.re (log.f64 (.f64 -1 x.im))))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2)))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (.f64 -1 x.im)) 3))))))
(+.f64 (.f64 y.re (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (.f64 -1 x.im)))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (.f64 -1 x.im)) 3))))))
(+.f64 (+.f64 (.f64 y.re (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (.f64 -1 x.im)))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (.f64 -1 x.im)) 3))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2))))))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (.f64 -1 x.im)) 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 y.re (log.f64 (.f64 -1 x.im))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (.f64 -1 x.im)) 3))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (*.f64 -1 x.im) y.re)
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (*.f64 -1 x.im) y.re))
(+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 -1 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (*.f64 -1 x.im) y.re))))
(.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (.f64 -1 x.im) y.re))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 -1 x.im) y.re)) (.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))))
(+.f64 (+.f64 (.f64 -1 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (.f64 -1 x.im) y.re))) (+.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))) (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 -1/6 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))))
(+.f64 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 -1 x.im) y.re)) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)) (.f64 -1/6 (pow.f64 (*.f64 -1 x.im) y.re)))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 -1 x.im) y.re)) (+.f64 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 (.f64 -1 x.im) y.re) (*.f64 -1/6 (pow.f64 y.im 3))))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 -1 x.im) y.re)) (+.f64 (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)) (.f64 1/2 (pow.f64 (.f64 -1 x.im) y.re))) (.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (.f64 -1/6 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))))))
(+.f64 (.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 -1 x.im) y.re)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 -1 x.im) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 (pow.f64 (.f64 -1 x.im) y.re) (+.f64 1 (.f64 (pow.f64 y.im 3) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 1 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 1 (exp.f64 (-.f64 (.f64 y.re (log.f64 (.f64 -1 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))))

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	26.8b	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

Compiler

Compiled 52 to 37 computations (28.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	-inf	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
0.0ms	x.re	@	inf	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
0.0ms	x.im	@	inf	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
0.0ms	x.im	@	-inf	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
0.0ms	x.re	@	0	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

rewrite5.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

28×	`bool.json-1`
24×	`rational.json-simplify-1`
22×	`rational.json-1`
22×	`rational.json-2`
22×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	45	23
2	75	23
3	79	23

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

212×	`rational.json-simplify-1`
142×	`rational.json-simplify-33`
30×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	1160
1	127	1160
2	181	1160
3	242	1160
4	287	1160
5	289	1160

Stop Event

1×

saturated

Counts

28 → 47

Calls

Call 1

Inputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))

Outputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 x.im (+.f64 (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
(+.f64 x.im (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 x.re (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)))))
(+.f64 (+.f64 x.re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(*.f64 x.re -1)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 x.re -1) (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (+.f64 (.f64 x.re -1) (*.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)))
(+.f64 (.f64 x.re -1) (+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (*.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16) (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2)) (+.f64 (.f64 x.re -1) (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)))
(+.f64 (+.f64 (.f64 x.re -1) (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)) (+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16)))
(+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (+.f64 (+.f64 (.f64 x.re -1) (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16)))
(+.f64 (.f64 x.re -1) (+.f64 (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16) (+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8))))
(+.f64 (.f64 x.re -1) (+.f64 (.f64 (/.f64 (pow.f64 x.im 2) x.re) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8) (.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 x.re (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)))))
(+.f64 (+.f64 x.re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 x.im (+.f64 (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
(+.f64 x.im (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(*.f64 x.im -1)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 x.im -1) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 x.im -1) (+.f64 (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2) (*.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (.f64 x.im -1) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2) (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16)))
(+.f64 (.f64 x.im -1) (+.f64 (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8) (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.5b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 98 to 16 computations (83.7% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.re) y.re)

rewrite6.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`bool.json-1`
20×	`rational.json-simplify-2`
18×	`rational.json-1`
18×	`rational.json-2`
18×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	33	11
2	59	11
3	63	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 (log.f64 x.re) y.re)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.re) y.re) (*.f64 (log.f64 x.re) y.re))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`rational.json-simplify-2`
4×	`rational.json-simplify-31`
4×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	434
1	30	434
2	34	434
3	36	434

Stop Event

1×

saturated

Counts

26 → 8

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))

Outputs
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 -1 y.re))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 1 x.re))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(+.f64 (*.f64 y.re (log.f64 x.re)) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(+.f64 (*.f64 y.re (log.f64 x.re)) 0)

eval70.0ms (0.6%)

Compiler: Compiled 5549 to 2620 computations (52.8% saved)

prune42.0ms (0.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	204	9	213
Fresh	3	3	6
Picked	1	0	1
Done	3	2	5
Total	211	14	225

Error

2.4b

Counts

225 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
	35.4b	(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
	31.3b	(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
	34.8b	(*.f64 (pow.f64 x.re y.re) 1)
	33.2b	(*.f64 (pow.f64 x.im y.re) 1)
	40.3b	(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
✓	31.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	55.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 2) (*.f64 -1/2 (pow.f64 y.im 2)))))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)))
	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
✓	21.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.3b	(*.f64 1 1)

Compiler

Compiled 266 to 185 computations (30.5% saved)

regimes233.0ms (2%)

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 -1 (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 2) (*.f64 -1/2 (pow.f64 y.im 2)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) -1))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.re) 2)))))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

5 calls:

94.0ms	x.re
41.0ms	y.re
40.0ms	x.im
38.0ms	y.im
6.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
6.2b	5	`x.re`
5.7b	3	`x.im`
4.1b	3	`y.re`
14.3b	3	`y.im`
11.2b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 685 to 237 computations (65.4% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	4.364206342774334e-39	5.8583732737491655e-37
35.0ms	-5.3679696469043625e-8	-2.1907064361203847e-11

Results

48.0ms	227×	body	256	valid
4.0ms	6×	body	1024	valid
3.0ms	9×	body	512	infinite
3.0ms	7×	body	512	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 673 to 453 computations (32.7% saved)

regimes148.0ms (1.3%)

Counts

22 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

56.0ms	x.re
29.0ms	y.im
28.0ms	x.im
28.0ms	y.re

Results

Error	Segments	Branch
6.2b	5	`x.re`
5.7b	3	`x.im`
4.2b	3	`y.re`
14.3b	3	`y.im`

Compiler

Compiled 332 to 140 computations (57.8% saved)

bsearch61.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	4.364206342774334e-39	5.8583732737491655e-37
34.0ms	-5.3679696469043625e-8	-2.1907064361203847e-11

Results

46.0ms	227×	body	256	valid
4.0ms	7×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	3×	body	1024	infinite
1.0ms	6×	body	256	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 633 to 445 computations (29.7% saved)

regimes112.0ms (1%)

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)

Outputs
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

38.0ms	y.im
25.0ms	x.re
25.0ms	x.im
19.0ms	y.re

Results

Error	Segments	Branch
8.5b	4	`x.re`
5.9b	4	`x.im`
5.0b	3	`y.re`
14.8b	5	`y.im`

Compiler

Compiled 151 to 97 computations (35.8% saved)

bsearch146.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	2.606270831289568e+57	7.950634522877174e+70
37.0ms	-1101.9953341512378	-7.210280067116644e-6

Results

63.0ms	301×	body	256	valid
56.0ms	249×	body	256	infinite
14.0ms	23×	body	1024	infinite
7.0ms	18×	body	512	infinite
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 567 to 440 computations (22.4% saved)

regimes103.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Outputs
(.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

38.0ms	y.im
26.0ms	x.re
19.0ms	y.re
14.0ms	x.im

Results

Error	Segments	Branch
8.8b	4	`x.re`
6.9b	2	`x.im`
5.2b	3	`y.re`
17.3b	5	`y.im`

Compiler

Compiled 139 to 88 computations (36.7% saved)

bsearch145.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	2.606270831289568e+57	7.950634522877174e+70
33.0ms	-27176008.69178293	-171117.49901035315

Results

62.0ms	272×	body	256	valid
54.0ms	262×	body	256	infinite
17.0ms	26×	body	1024	infinite
8.0ms	19×	body	512	infinite

Compiler

Compiled 512 to 390 computations (23.8% saved)

regimes119.0ms (1%)

Counts

7 → 5

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Outputs
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

39.0ms	x.im
30.0ms	x.re
26.0ms	y.im
22.0ms	y.re

Results

Error	Segments	Branch
15.6b	6	`x.re`
14.0b	9	`x.im`
8.0b	5	`y.re`
17.3b	5	`y.im`

Compiler

Compiled 70 to 51 computations (27.1% saved)

bsearch221.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
104.0ms	2.606270831289568e+57	7.950634522877174e+70
42.0ms	-1.4829840423006295e+38	-1.8929097857511877e+35
41.0ms	-3.0452225963090685e+119	-6.892234718203953e+104
34.0ms	-1.0285270549148867e+192	-7.818393308899152e+190

Results

109.0ms	544×	body	256	valid
62.0ms	288×	body	256	infinite
29.0ms	49×	body	1024	infinite
14.0ms	34×	body	512	infinite

Compiler

Compiled 800 to 623 computations (22.1% saved)

regimes77.0ms (0.7%)

Counts

6 → 5

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)

Outputs
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (pow.f64 x.re y.re) 1)

Calls

4 calls:

21.0ms	x.re
21.0ms	y.re
20.0ms	y.im
13.0ms	x.im

Results

Error	Segments	Branch
20.0b	5	`x.re`
19.0b	3	`x.im`
18.9b	5	`y.re`
27.9b	5	`y.im`

Compiler

Compiled 61 to 46 computations (24.6% saved)

bsearch162.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	2.408955246684118e-31	1.127033403073346e-16
33.0ms	-2.080361091880776e-27	-1.7887507026887898e-31
51.0ms	-3.0452225963090685e+119	-6.892234718203953e+104
33.0ms	-1.0285270549148867e+192	-7.818393308899152e+190

Results

106.0ms	528×	body	256	valid
20.0ms	50×	body	512	infinite
17.0ms	29×	body	1024	infinite
5.0ms	9×	body	1024	valid
3.0ms	16×	body	256	infinite
3.0ms	7×	body	512	valid

Compiler

Compiled 854 to 677 computations (20.7% saved)

regimes70.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)

Outputs
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(.f64 (pow.f64 (.f64 x.re -1) y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

19.0ms	y.im
19.0ms	y.re
19.0ms	x.re
12.0ms	x.im

Results

Error	Segments	Branch
20.0b	5	`x.re`
19.0b	3	`x.im`
19.0b	5	`y.re`
27.9b	5	`y.im`

Compiler

Compiled 51 to 39 computations (23.5% saved)

bsearch121.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	9.791596604929262e-88	2.3078463370916705e-77
48.0ms	-1.1271329786426253e-260	-1.3904485536217862e-265

Results

54.0ms	269×	body	256	valid
26.0ms	43×	body	1024	infinite
13.0ms	22×	body	1024	valid
11.0ms	30×	body	512	infinite
5.0ms	12×	body	512	valid
4.0ms	18×	body	256	infinite
2.0ms	2×	body	2048	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 484 to 385 computations (20.5% saved)

regimes50.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)

Outputs
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(.f64 (pow.f64 (.f64 x.im -1) y.re) 1)
(*.f64 1 1)
(*.f64 (pow.f64 x.re y.re) 1)

Calls

4 calls:

16.0ms	y.re
16.0ms	y.im
10.0ms	x.re
7.0ms	x.im

Results

Error	Segments	Branch
24.6b	3	`x.re`
20.3b	2	`x.im`
19.0b	5	`y.re`
27.9b	5	`y.im`

Compiler

Compiled 44 to 34 computations (22.7% saved)

bsearch160.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	0.3363592576127199	73998.07427219296
34.0ms	-5.3679696469043625e-8	-2.1907064361203847e-11
53.0ms	-3.0452225963090685e+119	-6.892234718203953e+104
31.0ms	-1.0285270549148867e+192	-7.818393308899152e+190

Results

102.0ms	511×	body	256	valid
18.0ms	48×	body	512	infinite
14.0ms	23×	body	1024	infinite
8.0ms	39×	body	256	infinite
7.0ms	12×	body	1024	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 710 to 589 computations (17% saved)

regimes51.0ms (0.4%)

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)

Outputs
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 1 1)
(*.f64 (pow.f64 x.re y.re) 1)

Calls

4 calls:

20.0ms	y.im
14.0ms	y.re
9.0ms	x.re
6.0ms	x.im

Results

Error	Segments	Branch
25.8b	2	`x.re`
27.8b	2	`x.im`
19.2b	5	`y.re`
27.7b	7	`y.im`

Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch132.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	0.3363592576127199	73998.07427219296
38.0ms	-1101.9953341512378	-7.210280067116644e-6
12.0ms	-3.0452225963090685e+119	-6.892234718203953e+104
34.0ms	-1.0285270549148867e+192	-7.818393308899152e+190

Results

85.0ms	426×	body	256	valid
20.0ms	32×	body	1024	infinite
10.0ms	47×	body	256	infinite
8.0ms	21×	body	512	infinite
2.0ms	3×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 552 to 457 computations (17.2% saved)

regimes36.0ms (0.3%)

Accuracy

Total -31.9b remaining (-152.7%)

Threshold costs -31.9b (-152.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)

Outputs
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

11.0ms	y.im
8.0ms	x.im
8.0ms	x.re
8.0ms	y.re

Results

Error	Segments	Branch
32.1b	2	`x.re`
31.8b	2	`x.im`
20.9b	3	`y.re`
30.9b	3	`y.im`

Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch101.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	0.3363592576127199	73998.07427219296
36.0ms	-1101.9953341512378	-7.210280067116644e-6

Results

59.0ms	284×	body	256	valid
21.0ms	100×	body	256	infinite
8.0ms	14×	body	1024	infinite
7.0ms	18×	body	512	infinite
2.0ms	4×	body	512	valid

Compiler

Compiled 372 to 313 computations (15.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1075

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -6576556458703583/19342813113834066795298816) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -4110347786689739/4835703278458516698824704) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3/2) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1) (if (<=.f64 y.re 71999999999999999299572107595371613104097252782549244051456) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -1100000) (.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1) (if (<=.f64 y.re 20000000000000001450628727630584702523167488192930439110364203109580800) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -265000000000000015270894049719803720705000407312646339288959529955871257085389362986624205111686036996064171407131186777212628142578162035322654144263022668012896068103405659835576736999800832) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -215000000000000003398674143733394002277538842992267011039568287851545582199098516397527351976251215000958402560) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -240000000000000014608171547454603264) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 680000000000000011968802014954028963929572614597710782136320) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))))
(if (<=.f64 y.re -80000000000000005804733727785502268882427394302490982596546751871776813799365512595616545453945935613925007814949405769290678025309099310171922926240314574337700996146021538566425687963467776) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -3200000000000000049790131614293897677658244470147396586783265857378668099727218250447953247728151832563860098777088000) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -348449143727041/174224571863520493293247799005065324265472) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 y.re 8924260225606735/81129638414606681695789005144064) (.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1) (*.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 x.im -1985381767147919/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 x.im 1495190925144637/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (pow.f64 (.f64 x.re -1) y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -225000000000000012368527185827052586263786710161400847990686154019982850185706606688815932384713069189101667499656483892567289129923612380236692681142865380844045570030394890552363893018066944) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -285000000000000010068791463939088979100003135177495145660149069403702863864740457542559762063380900811488734058721050624) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -1851167661284901/37778931862957161709568) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 y.re 6124895493223875/18014398509481984) (.f64 1 1) (.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -139999999999999994329138329345938790672086594771939057295550473298051669648854057096906547726365888424119095756606580762007715279258006074313502925288473067168022816734374945828411536419323904) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -8782019273372467/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7385903388887613/18014398509481984) (.f64 1 1) (*.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -5404319552844595/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7/2) (.f64 1 1) (*.f64 (pow.f64 x.im y.re) 1)))
(*.f64 1 1)

Outputs
(if (<=.f64 y.re -6576556458703583/19342813113834066795298816) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -4110347786689739/4835703278458516698824704) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3/2) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1) (if (<=.f64 y.re 71999999999999999299572107595371613104097252782549244051456) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -1100000) (.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im) y.re) 1) (if (<=.f64 y.re 20000000000000001450628727630584702523167488192930439110364203109580800) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -265000000000000015270894049719803720705000407312646339288959529955871257085389362986624205111686036996064171407131186777212628142578162035322654144263022668012896068103405659835576736999800832) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -215000000000000003398674143733394002277538842992267011039568287851545582199098516397527351976251215000958402560) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -240000000000000014608171547454603264) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 680000000000000011968802014954028963929572614597710782136320) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))))
(if (<=.f64 y.re -80000000000000005804733727785502268882427394302490982596546751871776813799365512595616545453945935613925007814949405769290678025309099310171922926240314574337700996146021538566425687963467776) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -3200000000000000049790131614293897677658244470147396586783265857378668099727218250447953247728151832563860098777088000) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -348449143727041/174224571863520493293247799005065324265472) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 y.re 8924260225606735/81129638414606681695789005144064) (.f64 (+.f64 1 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1) (*.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 x.im -1985381767147919/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 x.im 1495190925144637/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (pow.f64 (.f64 x.re -1) y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -225000000000000012368527185827052586263786710161400847990686154019982850185706606688815932384713069189101667499656483892567289129923612380236692681142865380844045570030394890552363893018066944) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -285000000000000010068791463939088979100003135177495145660149069403702863864740457542559762063380900811488734058721050624) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -1851167661284901/37778931862957161709568) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 y.re 6124895493223875/18014398509481984) (.f64 1 1) (.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -225000000000000012368527185827052586263786710161400847990686154019982850185706606688815932384713069189101667499656483892567289129923612380236692681142865380844045570030394890552363893018066944) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -285000000000000010068791463939088979100003135177495145660149069403702863864740457542559762063380900811488734058721050624) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -1851167661284901/37778931862957161709568) (.f64 (pow.f64 (.f64 x.im -1) y.re) 1) (if (<=.f64 y.re 6124895493223875/18014398509481984) 1 (*.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -139999999999999994329138329345938790672086594771939057295550473298051669648854057096906547726365888424119095756606580762007715279258006074313502925288473067168022816734374945828411536419323904) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -8782019273372467/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7385903388887613/18014398509481984) (.f64 1 1) (*.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -139999999999999994329138329345938790672086594771939057295550473298051669648854057096906547726365888424119095756606580762007715279258006074313502925288473067168022816734374945828411536419323904) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 y.re -8782019273372467/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7385903388887613/18014398509481984) 1 (.f64 (pow.f64 x.re y.re) 1)))))
(if (<=.f64 y.re -5404319552844595/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7/2) (.f64 1 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -5404319552844595/4503599627370496) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 7/2) 1 (.f64 (pow.f64 x.im y.re) 1)))
(*.f64 1 1)
1

Compiler

Compiled 448 to 282 computations (37.1% saved)

soundness0.0ms (0%)

end134.0ms (1.2%)

Compiler: Compiled 408 to 207 computations (49.3% saved)

Iter	Nodes	Cost
0	22	115
1	33	115
2	40	115
3	50	115
4	69	115
5	92	115
6	125	115
7	158	115
8	195	115
9	250	115
10	273	115

Iter	Nodes	Cost
0	22	115
1	33	115
2	40	115
3	50	115
4	69	115
5	92	115
6	125	115
7	158	115
8	195	115
9	250	115
10	273	115

Iter	Nodes	Cost
0	22	115
1	33	115
2	40	115
3	50	115
4	69	115
5	92	115
6	125	115
7	158	115
8	195	115
9	250	115
10	273	115